How to approach this question using SUVAT equations?

AI Thread Summary
The discussion revolves around solving a problem involving two cars, X and Y, using SUVAT equations. The user initially assigns displacements and attempts to relate them through equations but struggles to connect distance with time based on given graphs. Another participant suggests that the problem can be approached without equations, emphasizing careful reasoning. The importance of including a complete problem statement is also highlighted, as it aids in understanding the context. Ultimately, the conversation underscores the value of both analytical and intuitive methods in solving physics problems.
Physical_Fire
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Homework Statement
A car X is travelling at a constant speed u along a straight road. At time t = 0 a second car Y is a
distance d0 behind car X and travelling at a speed v in the same direction. Speed v is less than
speed u
Relevant Equations
S= ut+(1/2) at^2
Hello,
I came across the question attached. To approach this, I assigned S1 to car Y and S2 to car X. So the displacement of Car Y is S1=S2 + d(naught). Then using S1= ut+(1/2) at^2 for car Y and S2= uT , I got to uT + d(naught) = VT + (1/2)aT^2. However, I am stuck here as I can't relate distance with time as per the graphs. Any nudge in the right direction is appreciated.

Thanks.
 

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The question asks for the distance between cars X and Y. That's ##S_1 - S_2##
 
So i get s1-s2=UT-VT-(1/2)aT^2. I still cant see the relation
 
Physical_Fire said:
To approach this, I assigned S1 to car X and S2 to car Y. So the displacement of Car X is S1=S2 + d(naught). Then using S1= ut+(1/2) at^2 for car X and S2= uT , I got to uT + d(naught) = VT + (1/2)aT^2. However, I am stuck here as I can't relate distance with time as per the graphs. Any nudge in the right direction is appreciated.
It may be worth noting that the question can be solved without any equations - just using some careful thinking. (Perhaps you've already done that.) That's probably the approach intended by the question's author.

Of course, solving it using suvat equations is perfectly viable and is a valuable learning-experience.
 
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Physical_Fire said:
So i get s1-s2=UT-VT-(1/2)aT^2. I still cant see the relation
Choose some possible values for ##u, v## and ##a## and draw a graph of that function.
 
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I get this but this doesnt correspond to any of the given graphs.
 

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Physical_Fire said:
I get this but this doesnt correspond to any of the given graphs.
You forgot the ##d_0##. That graph shows cars X and Y being at the same place at ##t = 0##.
 
Yep thanks, i got it now
 
Physical_Fire said:
Homework Statement: A car X is travelling at a constant speed u along a straight road. At time t = 0 a second car Y is a
distance d0 behind car X and travelling at a speed v in the same direction. Speed v is less than
speed u
Relevant Equations: S= ut+(1/2) at^2

Hello,
I came across the question attached. To approach this, I assigned S1 to car Y and S2 to car X. So the displacement of Car Y is S1=S2 + d(naught). Then using S1= ut+(1/2) at^2 for car Y and S2= uT , I got to uT + d(naught) = VT + (1/2)aT^2. However, I am stuck here as I can't relate distance with time as per the graphs. Any nudge in the right direction is appreciated.

Thanks.
You failed to completely state the problem. Yes, it's in the attachment, but you really should include a complete statement in the "Homework Statement"
 
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